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A beam has a solid square cross section of 100mm and simply supported by two supports 3 metres apart. Calculate the dead load that can be safely supported when applied to the midle of the beam. The correct formula from my teacher:

M = WL/4 = Wx3/4

Z = I/Y = (d^4/12) / (d/2) = d^3/6

Now use these 3 formulas(below) to rearrange and substitute to find W

sigma = M/Z

Z = d^3/6

M = 3W/4

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